基于量子自适应的拓扑变换算法
Jincheng Zhang
Abstract
Quantum-inspired topology transformations are a burgeoning field with the potential to revolutionize computational geometry and related tasks. This paper introduces a novel algorithm, termed "Quantum Adaptive Topology Transform" (QATT), leveraging quantum entanglement and quantum computation to dynamically adjust transformation parameters, thereby significantly enhancing the efficiency of topology transformations. We demonstrate the effectiveness of QATT through rigorous analysis and practical implementation, highlighting its ability to overcome limitations of traditional approaches. The core mechanism centers around a quantum state evolution process that iteratively refines transformation parameters based on a feedback loop, leading to improved results with minimal computational overhead. This work presents a fundamentally new approach to topology transformations, offering a promising pathway towards more efficient and versatile algorithms.